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Finding the Fourth Proportional to 156.93, 235.32 and 102.66

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Solution

The fourth proportional to 156.93, 235.32 and 102.66 is: 153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.93 : 235.32 = 102.66 : x
  2. Step 2: Convert to fraction form
    156.93/235.32 = 102.66/x
  3. Step 3: Cross multiply
    156.93x = 235.32 × 102.66
  4. Step 4: Simplify right side
    156.93x = 24,157.95
  5. Step 5: Solve for x
    x = 24,157.95/156.93
  6. Step 6: Final answer
    x = 153.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.